# Cube + third power - examples

1. Tereza The cube has area of base 256 mm2. Calculate the edge length, volume and area of its surface.
2. Cube zoom How many percent we increase volume and surface of cube, if we magnify its edge by 38%.
3. Lathe From the cube of edge 37 cm was lathed maximum cylinder. What percentage of the cube is left as waste after lathed?
4. Cube The cube weighs 11 kg. How weight is cube of the same material, if its dimensions are 3-times smaller?
5. Cube in ball Cube is inscribed into sphere of radius 241 cm. How many percent is the volume of cube of the volume of sphere?
6. Cube The sum of lengths of cube edges is 69 cm. What is its surface and volume?
7. Granite cube What is the weight in kg granite cube with an edge of 0.5 m if 1dm3 of granite weight 2600 g?
8. Cuboids in cube How many cuboids with dimensions of 6 cm, 8 cm and 12 cm can fit into a cube with side 96 centimeters?
9. Cube and water How many liters of water can fit into a cube with an edge length of 0.11 m?
10. Lathe Calculate the percentage of waste if the cube with 53 cm long edge is lathed to cylinder with a maximum volume.
11. Special cube Calculate the edge of cube, if its surface and its volume is numerically equal number.
12. Two boxes-cubes Two boxes cube with edges a=38 cm and b = 81 cm is to be replaced by one cube-shaped box (same overall volume). How long will be its edge?
13. For thinkings The glass cube dive into the aquarium, which has a length of 25 cm, width 20 cm and height of 30 cm. Aquarium water rises by 2 cm. a) What is the volume of a cube? b) How many centimeters measure its edge?
14. Cube basics How long is the edge length of a cube with volume 23 m3?
15. Cube 7 Calculate the volume of a cube, whose sum of the lengths of all edges is 276 cm.
16. Cube 9 What was the original edge length of the cube if after cutting 39 small cubes with an edge length 2 dm left 200 dm3?
17. Cube containers Two containers shaped of cube with edges of 0.7 m and 0.9 m replace a single cube so that it has the same volume as the original two together. What is the length of the edges of the new cube?
18. Cube 6 Surface area of one wall cube is 1600 cm square. How many liters of water can fit into the cube?
19. Cube-shaped box Design the size of the smallest possible cube-shaped box where three types of 3cm, 5cm, 6cm small cubes could be stacked to make full use of the box space (each type of cube separately). Can you find out how many smallest cubes are in the box?
20. Cube One cube has edge increased 5 times. How many times will larger its surface area and volume?

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